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The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18 ​

The Sum Of Three Consecutive Integers Is 54 What Are The Integers A 17 18 19 B 17 19 21 C 18 19 20 D 16 17 18 class=

Sagot :

Answer:

Option A: 17,18,19 is the right answer.

Step-by-step explanation:

Let x be the first integer then the next two consecutive integers will be x+1, x+2

According to the given statement, the equation will be:

[tex]x + (x+1) + (x+2) = 54[/tex]

The equation is a linear equation in one variable, we have to solve the equation to get the values of integers

[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]

Second integer = x+1 = 17+1 = 18

Third integer = x+2 = 17+2 = 19

The three integers are: 17,18 and 19

Hence,

Option A: 17,18,19 is the right answer.

Answer:

option a is the right answear trust

Step-by-step explanation: